x^3y^{'''}+xy^'-y=x^2

Lösung

x^{3} y^{^{'''}} + x y^{^{'}} - y = x^{2}

y = c_{1} x + c_{2} ln (x) x + c_{3} ln^{2} (x) x + x^{2}

Schritte zur Lösung

x^{3} y^{'''} (x) + x y^{'} (x) - y = x^{2}

Solve linear ODE:

y = c_{1} x + c_{2} ln (x) x + c_{3} ln^{2} (x) x + x^{2}

y = c_{1} x + c_{2} ln (x) x + c_{3} ln^{2} (x) x + x^{2}

x \to 4 - lim (\frac{x}{x - 2})

im pl i c i t x^{2} + 8 y^{2} = 8

\int_{0}^{3} \frac{1}{( x + 2 ) ^{4}} d x

\frac{\partial}{\partial x} (sin (x) y^{2})

\frac{d}{d x} (3 x^{2} y^{3})